Question

At a football game, a vender sold a combined total of 116 sodas and hotdogs. The number of soda's sold was three times the number of the hot dogs sold. Find the numbe of sodas and the number of hot dogs sold.

Answer 1

Let s and h the number of sodas and hotdogs sold, respectively; therefore, according to the question, the two equations are

`\begin{gathered} s+h=116 \\ s=3h \end{gathered}`

Solving the system of equations,

`\begin{gathered} s=3h \\ \Rightarrow3h+h=116 \\ \Rightarrow4h=116 \\ \Rightarrow h=29 \\ and \\ \Rightarrow s=3*29=87 \end{gathered}`

Thus, the answer is 29 hotdogs and 87 sodas.